Atkin-Lehner |
2+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18920d |
Isogeny class |
Conductor |
18920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
4730000 = 24 · 54 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 11+ 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60,-167] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
1518013696/295625 |
j-invariant |
L |
3.9587124319067 |
L(r)(E,1)/r! |
Ω |
1.7362413714681 |
Real period |
R |
0.28500591111358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37840e1 94600m1 |
Quadratic twists by: -4 5 |